the measure of angle 1 is 15 less than twice the measure of angle 2. find the measure of angle 2
If you have given all of the INFO, I will assume angle 1 and 2 are the acute angles of a rt. triangle:
Angle 2 = X deg.
Angle 1 = 2x - 15.
X + (2x - 15) = 90,
3x - 15 = 90,
3x = 105,
X = 35 deg. = Angle 2.
To find the measure of angle 2, we need to set up an equation based on the information given. Let's start by assigning variables:
Let's say the measure of angle 2 is "x" degrees.
According to the given information, the measure of angle 1 is 15 less than twice the measure of angle 2.
Twice the measure of angle 2 is 2 * x = 2x.
So the measure of angle 1 can be represented as 2x - 15.
Now, we can set up an equation:
2x - 15 = angle 1
Since we're trying to find the measure of angle 2, we'll solve this equation for x.
Adding 15 to both sides of the equation:
2x = angle 1 + 15
Dividing both sides of the equation by 2:
x = (angle 1 + 15) / 2
So to find the measure of angle 2, substitute the value of angle 1 into the formula, (angle 1 + 15) / 2.